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Finding the Fourth Proportional to 9,914.28, 13,655.43 and 7,388.31

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Solution

The fourth proportional to 9,914.28, 13,655.43 and 7,388.31 is: 10,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.28 : 13,655.43 = 7,388.31 : x
  2. Step 2: Convert to fraction form
    9,914.28/13,655.43 = 7,388.31/x
  3. Step 3: Cross multiply
    9,914.28x = 13,655.43 × 7,388.31
  4. Step 4: Simplify right side
    9,914.28x = 100,890,550.02
  5. Step 5: Solve for x
    x = 100,890,550.02/9,914.28
  6. Step 6: Final answer
    x = 10,176.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.